An equivalent characterization of the summability condition for rational maps

Huaibin Li

doi:10.3934/dcds.2013.33.4567

Article Contents

2013, Volume 33, Issue 10: 4567-4578. Doi: 10.3934/dcds.2013.33.4567

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An equivalent characterization of the summability condition for rational maps

Huaibin Li^1,

1.
School of Mathematics and Information Science, Henan University, Kaifeng 475004

Received: September 30, 2012

Revised: January 31, 2013

Published: September 2013

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Abstract

We give an equivalent characterization of the summability condition in terms of the backward contracting property defined by Juan Rivera-Letelier, for rational maps of degree at least two which are expanding away from critical points.

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Mathematics Subject Classification: Primary: 37F10; Secondary: 37F15.

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References

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